1. Development of Kinematic Equations
Created for CVCA Physics by
Dick Heckathorn
19 September 2K+2

2. Finding Kinematic Equationsvf vi ti tf
Setting up the graph.

3. Finding Kinematic Equationsvf vi ti tf
Slope is:
Finding the slope

4. Finding Kinematic Equations
This gives us equation 1

5. Finding Kinematic Equationsvf
Base
Average
Height vi ti tf
The shape is a trapezoid
Area =
Finding the area

6. Finding Kinematic Equations
These are the two equations we need.
Now we have equation 2.

7. Finding Kinematic Equations
But lets make things easier.

8. Finding Kinematic Equations
Eliminate vf as one combines 1 and 2

9. Finding Kinematic Equations
This gives us equation 3

10. Finding Kinematic Equations
Rectangle vf vi
Triangle ti tf
The area is a rectangle + triangle
Area =
Finding the area

11. Finding Kinematic Equations
Now eliminate vi combining 1 and 2

12. Finding Kinematic Equations
This gives us equation 4

13. Finding Kinematic Equations
Rectangle vf vi
Triangle ti tf
The area is a rectangle - triangle
Area =
Finding the area

14. Finding Kinematic Equations
Now eliminate t combining 1 and 2
This gives equation 5.

15. Finding Kinematic Equations1 a vi vf t no d 2 vi vf t d no a 3 a vi t d no vf vf vi 4 a t d no 5 a vi vf d no t

16. To Solve Kinematic Problems
G identify the variables given (3)
U identify the unknown variable (1)
E find the appropriate equation that contains the 4 variables
* solve for the unknown variable
S substitute in known variables
S solve or

17. To Solve Kinematic Problems
G identify the variables given (3)
U identify the unknown variable (1)
E find the appropriate equation that does not contains the variable not involved
* solve for the unknown variable
S substitute in known variables
S solve

18. That’s all there is to it folks.